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Finding the Third Proportional to 154,469 and 246,692

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Solution

The third proportional to 154,469 and 246,692 is: 393,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469 : 246,692 = 246,692 : x
  2. Step 2: Convert to fraction form
    154,469/246,692 = 246,692/x
  3. Step 3: Cross multiply
    154,469x = 246,692 × 246,692
  4. Step 4: Simplify right side
    154,469x = 60,856,942,864
  5. Step 5: Solve for x
    x = 60,856,942,864/154,469
  6. Step 6: Final answer
    x = 393,975.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.